×

Global solutions for 2D coupled Burgers-complex-Ginzburg-Landau equations. (English) Zbl 1330.35420

Summary: In this article, we study the periodic initial-value problem of the 2D coupled Burgers-complex-Ginzburg-Landau (Burgers-CGL) equations. Applying the Brezis-Gallout inequality which is available in 2D case and establishing some prior estimates, we obtain the existence and uniqueness of a global solution under certain conditions.

MSC:

35Q56 Ginzburg-Landau equations
35M13 Initial-boundary value problems for PDEs of mixed type
35D35 Strong solutions to PDEs
35B45 A priori estimates in context of PDEs
PDFBibTeX XMLCite
Full Text: EMIS